TMUA 2021 Paper 2 Q3 — Worked Solution

P2·Statistics & Probability, Logic & Quantifiers·5.5Official · 2021 · Q3

necessary-conditionprobability-as-fractionlowest-terms

A student is chosen at random from a class. Each student is equally likely to be chosen.Which of the following conditions is/are necessary for the probability that the student wears glasses to equal

\frac{4}{15}

Exactly

11

students in the class do not wear glasses.

The number of students in the class is divisible by

3

III

The class contains

30

students, and

8

of them wear glasses.

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TMUA 2021 Paper 2 Question 3

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